Monotone Iterative Methods of Positive Solutions for Fractional Differential Equations Involving Derivatives
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-04
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
This paper studies the existence and computing method of positive solutions for a class of nonlinear fractional differential equations involving derivatives with two-point boundary conditions.
By applying monotone iterative methods, the existence results of positive solutions and two iterative schemes approximating the solutions are established.
The interesting point of our method is that the iterative scheme starts off with a known simple function or the zero function and the nonlinear term in the fractional differential equation is allowed to depend on the unknown function together with derivative terms.
Two explicit numerical examples are given to illustrate the results.
American Psychological Association (APA)
Zhang, Xiaoping& Sun, Yongping. 2014. Monotone Iterative Methods of Positive Solutions for Fractional Differential Equations Involving Derivatives. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-457717
Modern Language Association (MLA)
Zhang, Xiaoping& Sun, Yongping. Monotone Iterative Methods of Positive Solutions for Fractional Differential Equations Involving Derivatives. Mathematical Problems in Engineering No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-457717
American Medical Association (AMA)
Zhang, Xiaoping& Sun, Yongping. Monotone Iterative Methods of Positive Solutions for Fractional Differential Equations Involving Derivatives. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-457717
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-457717